random = possibility in a small or known number of elements. like skipping musis tracks in a CD.
chance = possibility in a huge or unknown amount of elements. like the number of grains of sand in a beach.
evolutionary mutations happens by chance. like a radiation beam coming from the Pleiades in a crazy angle through our atmosphere hits a "letter" of the DNA of the left testicle of a drone bee while flying causing a mutation in his DNA. see? so crazy we assume is a chance but some assume is Jehovah.